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Structural stability of singular holomorphic foliations having a meromorphic first integral. (English) Zbl 0735.57014
From the introduction: “We give extensions of Reeb’s Stability Theorem to singular holomorphic foliations of codimension 1 having a meromorphic first integral and defined on projective manifolds \(\mathcal M\) with \(H^ 1({\mathcal M},{\mathbb{C}})=0\). (…) If the leaves form a Lefschetz pencil, then the foliation is \(C^ 0\)-structurally stable.”.

MSC:
57R30 Foliations in differential topology; geometric theory
32S65 Singularities of holomorphic vector fields and foliations
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